van der Waals and retardation (Casimir) interactions of an electron or an atom with multilayered walls.
van der Waals and retardation (Casimir) interactions of an electron or an atom with multilayered walls.
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电子或原子与多层壁的范德华和延迟（卡西米尔）相互作用。
DOI：
10.1103/physreva.52.297
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发表时间：
1995
期刊：
影响因子：
--
通讯作者：
L. Spruch
中科院分区：
文献类型：
--
作者：
Fei Zhou;L. Spruch
我们使用量子化表面模式技术来评估一个“粒子”（电子或原子）与两组任意厚度和任意折射率的平面平行壁的相互作用V;一组在粒子的一侧，另一组在另一侧。它示出的一组墙壁上的任一方的颗粒可以被视为一个单一的墙壁与有效的反射系数的函数，入射平面波的入射角和频率的函数。因此，两组墙实际上减少到每侧一面墙。使用标准图像技术的修改版本，\char 22 {}图像的位置是通常的位置，但是强度被修改，\char 22 {}人们发现V的封闭形式可以重新表示为给定一侧的图像集与另一侧的墙壁的相互作用的总和。采用各种限制（薄壁、厚壁、金属壁、稀介质）重现了许多已知的相互作用，并提供了许多以前未获得的结果。后者的结果使我们能够给出定量估计的误差在近似一个壁的有限厚度的半无限厚度的壁，或近似一个壁与大介电常数的无限介电常数的壁。在试图使用户友好的文件，我们提供了一个表格的许多短程（货车德瓦尔斯样）和长程（阻滞）的相互作用，现在已知的，与方程参考。
We use the quantized surface mode technique to evaluate the interaction V of a ``particle'' (an electron or atom) with two sets of plane parallel walls of arbitrary thicknesses and arbitrary permittivities; one set is on one side of the particle and the other set is on the other side. It is shown that a set of walls on either side of the particle can be treated as a single wall with an effective reflection coefficient scrR, a function of the frequency and angle of incidence of an incoming plane wave. The two sets of walls have thereby been effectively reduced to one wall on each side. Using a modified version of the standard image technique\char22{}the locations of the images are the usual ones, but the strengths are modified\char22{}one finds that the closed form for V can be reexpressed as a sum of interactions of the set of images on a given side with the wall on the other side. Taking various limits (thin walls, thick walls, metallic walls, dilute media) reproduces many known interactions and also provides a number of results not previously obtained. The latter results enable us to give quantitative estimates of the error incurred in approximating a wall of finite thickness by a wall of semi-infinite thickness, or approximating a wall with large permittivity by a wall of infinite permittivity. In an attempt to make the paper user friendly, we provide a tabulation of many of the short-range (van der Waals-like) and long-range (retardation) interactions now known, with equation references.